Question is not proper, Proper question is given below;
Consuelo's living room is in the shape of a rectangle and has an area of 360 square feet. The width of the living room is
its length. What is the length of the living room?
Answer:
Length of the living room is 24 feet.
Step-by-step explanation:
Given:
Area of the living room = ![360 \ ft^2](https://tex.z-dn.net/?f=360%20%5C%20ft%5E2)
We need to find the length of the living room.
Solution:
the length of the living room be 'l'.
Given:
Width of the living room
of it length.
width ![w= \frac{5}{8}l](https://tex.z-dn.net/?f=w%3D%20%5Cfrac%7B5%7D%7B8%7Dl)
It has been given that living room is in rectangular format.
So we can say that;
Area of living room is equal to length of the living room times width of the living room.
framing in equation form we get;
![l\times w=360\\\\l\times\frac{5}{8}l=360\\\\\frac{5}{8}l^2=360](https://tex.z-dn.net/?f=l%5Ctimes%20w%3D360%5C%5C%5C%5Cl%5Ctimes%5Cfrac%7B5%7D%7B8%7Dl%3D360%5C%5C%5C%5C%5Cfrac%7B5%7D%7B8%7Dl%5E2%3D360)
Now Multiplying both side by
we get;
![\frac{5}{8}l^2\times\frac{8}{5}=360\times\frac{8}{5}\\\\l^2= 576](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B8%7Dl%5E2%5Ctimes%5Cfrac%7B8%7D%7B5%7D%3D360%5Ctimes%5Cfrac%7B8%7D%7B5%7D%5C%5C%5C%5Cl%5E2%3D%20576)
Taking square root on both side we get;
![\sqrt{l^2} =\sqrt{576} \\\\l=24 \ ft](https://tex.z-dn.net/?f=%5Csqrt%7Bl%5E2%7D%20%3D%5Csqrt%7B576%7D%20%5C%5C%5C%5Cl%3D24%20%5C%20ft)
Hence Length of the living room is 24 feet.